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Popular >

integral of 5x-5

Solution

\int 5 x - 5 d x

Solution

\frac{5 x ^{2}}{2} - 5 x + C

Solution steps

\int 5 x - 5 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 5 x d x - \int 5 d x

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 5 d x = 5 x

= \frac{5 x ^{2}}{2} - 5 x

Add a constant to the solution

= \frac{5 x ^{2}}{2} - 5 x + C

Popular Examples

integral of x^2cos(x^3+3)

\int x^{2} cos (x^{3} + 3) d x

integral of x2x

\int x d^{2} x d x

integral of (2x^2)/(sqrt(x^2+1))

\int \frac{2 x ^{2}}{x ^{2} + 1} d x

integral of x/(cos^2(2x^2))

\int \frac{x}{cos ^{2} ( 2 x ^{2} )} d x

integral of sqrt(1+(3/2 \sqrt{x))^2}

\int 1 + (\frac{3}{2} x)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of 5x-5 ?
The integral of 5x-5 is (5x^2)/2-5x+C